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Finding the Fourth Proportional to 13,777.64, 20,667.82 and 4,415.30

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Solution

The fourth proportional to 13,777.64, 20,667.82 and 4,415.30 is: 6,623.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.64 : 20,667.82 = 4,415.30 : x
  2. Step 2: Convert to fraction form
    13,777.64/20,667.82 = 4,415.30/x
  3. Step 3: Cross multiply
    13,777.64x = 20,667.82 × 4,415.30
  4. Step 4: Simplify right side
    13,777.64x = 91,254,625.65
  5. Step 5: Solve for x
    x = 91,254,625.65/13,777.64
  6. Step 6: Final answer
    x = 6,623.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.